Enigma 259: Half burnt

“Just for once,” said Uncle Bungle, “I will make up a football puzzle in which all the information is included, instead of one with about half the figures left out.”

He undoubtably meant well — my uncle nearly always does. But as so often his plan went sadly wrong. He was doing a bit of tidying up and the wrong piece of paper — or rather half of it — got thrown on the fire.

All that was left was this:

(2 points are given for a win and 1 point for a draw).

Calling the five teams A, B, C, D and E in that order find who played whom and the score in each match.

(They are all to play each other once eventually. C had not yet played E).